Revd Andrew Malcolm from Lancashire was thrown off his bike by the impact last Friday.
The 59-year-old lay at the side of the road with cuts to his arms, face, legs and shoulder whilst the motorist drove off.
He was cycling home when the father of two was hit by a green car in Simonstone.
The vicar, who's in charge of St Leonard's Church of England parish in Langho, said he was 'determined' to help police find the person responsible.
The former police officer told the Lancashire Telegraph: "I'm angry and disappointed that someone has done this.
"People should be more patient with other road users who are not in a car.
"If this car had just waited a little longer it would have been fine.
"If I wasn't wearing my helmet my injuries would have been significantly worse.
"I was left in a pretty bad way and ended up spending four hours in Burnley General Hospital.
"It just came completely out of the blue and I hope that the police catch up with them."
Police are appealing for witnesses.